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Finding the Fourth Proportional to 4,538.10, 6,807.15 and 3,444.60

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Solution

The fourth proportional to 4,538.10, 6,807.15 and 3,444.60 is: 5,166.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,538.10 : 6,807.15 = 3,444.60 : x
  2. Step 2: Convert to fraction form
    4,538.10/6,807.15 = 3,444.60/x
  3. Step 3: Cross multiply
    4,538.10x = 6,807.15 × 3,444.60
  4. Step 4: Simplify right side
    4,538.10x = 23,447,908.89
  5. Step 5: Solve for x
    x = 23,447,908.89/4,538.10
  6. Step 6: Final answer
    x = 5,166.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.